MoreCalculus

MoreCalculus` Mathematica package repository.

This package is meant to provide additional functions with application in calculus area.

It's in a very crude state, released to get some feedback and test cases from community.

Quick start

• Installing:

  (    If[DirectoryQ[#], DeleteDirectory[#, DeleteContents -> True]];
       CreateDirectory[#];
       URLSave[
          "https://raw.githubusercontent.com/kubaPod/MoreCalculus/master/MoreCalculus/MoreCalculus.m", 
          FileNameJoin[{#, "MoreCalculus.m"}]
       ]
  ) & @ FileNameJoin[{$UserBaseDirectory, "Applications", "MoreCalculus"}]

  This procedure will overwrite anything in $UserBaseDirectory/Applications/MoreCalculus

  or go to "release" tab, download the latest one and extract MoreCalculus folder in $UserBaseDirectory/Applications.

• When installed:

  << MoreCalculus`

Example

Currently it contains only one function DChange, which helps transforming differential expressions to different coordinates.

For example, a wave equation in retarded/advanced coordinates:

DChange[ 
    D[u[x, t], {t, 2}] == c^2 D[u[x, t], {x, 2}], 
    {a == x + c t, r == x - c t}, {x, t}, {a, r}, u[x, t]
]

c u^(1,1)[a,r]==0

More examples and comments in Mathematica.StackExchange topic where this idea originates from:

http://mathematica.stackexchange.com/q/80241/5478